Approximation of weighted local mean operators

References

• Wang , J.Z. 2009 . Construction of local nonlinear filter without staircase effect in image restoration . Applicable Analysis , 90 ( 8 ) : 1257 – 1273 .
   Web of Science ®Google Scholar
• Coifman , R.R. and Maggioni , M. 2006 . Diffusion wavelets, in special issue on diffusion maps and wavelets . Applied and Computational Harmonic Analysis , 21 : 53 – 94 .
   Web of Science ®Google Scholar
• Yaroslavsky , L.P. 1985 . Digital picture processing – an introduction , New York : Springer-Verlag .
   Google Scholar
• Lee , J.S. 1983 . Digital image smoothing and the sigma filter . Computer Vision, Graphics, and Image Processing , 24 : 253 – 269 .
   Google Scholar
• Abramowitz M, Stegun IA, editors. Handbook of mathematical functions with formulas, graphs, and mathematical tables. 9th printing. New York: Dover; 1972.
   Google Scholar
• Lebedev NN, Silverman RR., translator. Special functions and their applications. Englewood Cliffs, NJ: Prentice-Hall; 1965.
   Google Scholar
• Buades , A. , Coll , B. and Morel , J.M. 2006 . The staircasing effect in neighborhood filters and its solution . IEEE Transactions on Image Processing , 15 ( 6 ) : 1499 – 1505 .
   PubMed Web of Science ®Google Scholar